Answer:
190 miles
Step-by-step explanation:
Factor find GCF
6w-15w
7x-3x
Answer:
3w
x
Step-by-step explanation:
Hi there!
6w-15w
Here, both the terms can be divided by w.
6-15
They can also both be divided by 3.
2-3
Because 2 and 3 have no common factor, the GCF is therefore 3w.
7x-3x
Both the terms can be divided by x.
7-3
Because 7 and 3 have no common factor, the GCF is therefore x.
I hope this helps!
question in link below
Answer:
105
Step-by-step explanation:
2x17=34
17x2.5=42.5
1.5x17=25.5
1/2x2x2x1.5=3
34+42.5+25.5+3=105
Answer Po Ba Ay 11.33?
Step-by-step explanation:
Calc
please help !!!! i will mark brainliest if correct
Answer:
(2.571, 10.143)
Step-by-step explanation:
Answer:
(4, 3) ordered pair
Step-by-step explanation:
Rearranging the two equations making y the subject of the equations:
\(y = -5x + 23\) —-(equation i)
\(y = 2x - 5\) ——-(equation ii)
Equating equation i to equation ii and solve for x. Bring all the like terms together:
\(2x - 5 = -5x + 23\)
\(= 2x + 5x = 23 + 5\)
\(= 7x = 28\)
x = \(\frac{28}{7}\)
∴ x = 4
Substitute the value of x in any of the two equation to solve for y:\(y = 2(4) - 5\)
y = \(8 - 5\)
y = 3
Together these x and y values form an ordered pair, which is also the point of intersection for these two equations: \((4, 3)\)
during the course of a motor test, the motor rpm (revolutions per minute) is measured and recorded at regular intervals as: 990 1030 950 1050 1000 980 calculate the mean value, standard deviation and the best estimate of the true value for this data set. over what interval would 50% of the entire population of motor speed values fall? test the data set for potential outliers.
The best estimate of the true value for this data set is the mean value, which is 1000 rpm.
To calculate the mean value, we add up all the values and divide by the
number of values:
(990 + 1030 + 950 + 1050 + 1000 + 980) / 6 = 1000
So the mean value is 1000 rpm.
To calculate the standard deviation, we need to first calculate the
variance:
Variance =\([(990 - 1000)^2 + (1030 - 1000)^2 + (950 - 1000)^2 + (1050 - 1000)^2 + (1000 - 1000)^2 + (980 - 1000)^2] / 6\)
Variance = 12000 / 6 = 2000
So the variance is \(2000 (rpm)^2\).
The standard deviation is the square root of the variance:
Standard deviation = √(2000) = 44.7 rpm
The best estimate of the true value for this data set is the mean value, which is 1000 rpm.
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4. If m/3 = 54°, find the measure of each missing angle.
540
4
2. 3
7
10
6/5
58
9
11
12 13.
14
a. m/1 =
36
b. m/2 = 40
c. m/4 =
36
d. m25 =
40
e. m26 = 54
f. m27 = 126
9. m28=
54
h. m29 = 126
i. m210 = 54
j. m/11=
54
k. m/12 = 126
1. m/13 = 54
m. m/14 = 120
Gina Wilson (All Things Algebra),2014
Using multiple line and angle theorems, the values of each of the 14 angles are given.
Using the geometry theorems :
1.)
∠2 is a right angle = 90°
2.)
∠1 + ∠2 + ∠3 = 180° (sum of angle on a straight line)
90 + ∠1 + 54° = 180°
∠1 = (180 - 144) = 36°
(∠2 and ∠5) ; (∠3 and ∠6) ; (∠1 and ∠4) are vertically opposite ;
Hence,
∠4 = 36°
∠5 = 90°
∠6 = 54°
∠3 = ∠8 = 54° (corresponding angles)
∠9 + ∠8 = 180° (sum of angle on a straight line)
∠9 = (180 - 54) =126°
∠7 = ∠9 = 126° (vertically opposite angles)
∠8 = ∠10 = 54° (vertically opposite angles)
∠4 = ∠13 = 36° (corresponding angles )
∠12 + ∠13 = 180° (sum of angle on a straight line)
∠12 = (180 - 36) =126°
∠11 = ∠13 = 36° (vertically opposite angles)
∠12 = ∠14 = 126° (vertically opposite angles)
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Solve the equation:
10 In(100) – 3 = 117
Answer:
x = e^12/100
Step-by-step explanation:
Solve for x over the real numbers:
10 ln(100 x) - 3 = 117
Add 3 to both sides:
10 ln(100 x) = 120
Divide both sides by 10:
ln(100 x) = 12
Cancel logarithms by taking exp of both sides:
100 x = e^12
Divide both sides by 100:
Answer: x = e^12/100
In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed.
Answer:
Note: The full question is attached as picture below
a) Hо : p = 0.71
Ha : p ≠ 0.71
p = x / n
p = 91/110
p = 0.83.
1 - Pо = 1 - 0.71 = 0.29.
b) Test statistic = z
= p - Pо / [√Pо * (1 - Pо ) / n]
= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]
= 0.12 / 0.043265
= 2.77360453
Test statistic = 2.77
c) P-value
P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028
P-value = 0.0056
∝ = 0.01
P-value < ∝
Reject the null hypothesis. There is sufficient evidence to support the researchers claim at the 1% significance level.
Simplify −2r(−16r + 3r − 18). −26r2 − 36r 26r2 + 36 26r2 + 36r −26r2 + 36r
Answer:
26r^2 + 36r.
Step-by-step explanation:
5-7
To rationalize the denominator of
9- 114 · you should multiply the expression by which fraction?
o
5+
g-ſ14
9-14
9-14
9+ 14
9+
14
14
14
Answer:
the third option
Step-by-step explanation:
what does that mean ?
to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).
a square root of a not square number is irrational (not rational).
so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).
for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.
what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.
so, what works for 9 - sqrt(14) as factor ?
we cannot just square this as
(9- sqrt(14))² = 81 -2sqrt(14) + 14
we still have the square root included.
but remember the little trick :
(a+b)(a-b) = a² - b²
without any mixed elements.
so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get
81-14 = 67 which is a rational number.
therefore, the third answer option is correct.
follow the rule
\(\\ \sf\longmapsto \dfrac{a+b}{c-d}\)
To rationalize the above fraction we need to change the sign of denominator patt and multiply with both numerator and denominator
Like
\(\\ \sf\longmapsto \dfrac{a+b(c+d)}{(c-d)(c-d)}\)
Here correct option is C
Y’all know what this is ?
Answer:
65
Step-by-step explanation:
8(5) + 25 = 65
We plugged in 5 for c since we know its value.
Answer:
65
Step-by-step explanation:
8x5=40 25+40=65
I hope this helps, and have a nice day!
Your first job as a new engineer is to estimate the cost of a new 3000−ft
2
heat exchange system for a plant retrofit. Your company paid $75,000 for a 1200- ft
2
heat exchanger 7 years ago. After a quick check in the literature, you determine the price index 7 years ago was 1360 and is 1478 today. If the power-sizing exponent is 0.55, determine a rough estimate for the cost of the new heat exchanger system.
The estimated cost of the new 3000-ft2 heat exchange system for the plant retrofit can be calculated using the power-sizing exponent and the price index. Based on the given information, the rough estimate for the cost of the new heat exchanger system is approximately $108,984.
To estimate the cost of the new heat exchange system, we need to consider the price index and the power-sizing exponent. The price index provides a measure of the change in prices over time. In this case, the price index 7 years ago was 1360, and the current price index is 1478.
To calculate the cost estimate, we can use the following formula:
Cost estimate = (Cost of previous heat exchanger) × (Current price index / Previous price index) × (New size / Previous size) ^ power-sizing exponent
Using the given information, the cost of the previous heat exchanger was $75,000, the previous size was 1200 ft2, and the new size is 3000 ft2.
Plugging in these values into the formula, we get:
Cost estimate = ($75,000) × (1478 / 1360) × (3000 / 1200) ^ 0.55
Simplifying the calculation, we find:
Cost estimate ≈ $108,984
Therefore, a rough estimate for the cost of the new 3000-ft2 heat exchanger system for the plant retrofit is approximately $108,984. It's important to note that this is just an estimate and the actual cost may vary based on specific factors and market conditions.
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What are integers definition for kids?
Integers are whole numbers that can be positive, negative, or zero.
To put it simply, integers are just numbers, but they have a few specific characteristics that make them different from other types of numbers. Integers include all the counting numbers like 1, 2, 3, 4, and so on, as well as their negative counterparts like -1, -2, -3, and so on, and finally, zero.
When we add or subtract integers, we get another integer. For example, if we add 2 + (-3), the result is -1, which is an integer. Similarly, if we multiply or divide integers, the result is also an integer, such as (-2) * 3 = -6.
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which number is halfway between 318970 and 719070
Answer:
it is 519020
Step-by-step explanation:
Please help me. I don’t know which phone contract is better.
I am going to change my phone contract. The monthly contract I am considering costs $30 per month with 75 minutes of free calls and 100 free text messages. Additional calls cost 10¢ per minute and additional text messages 10¢ each. An alternative is ‘Pay as you go’ which has no monthly charge but all calls cost 30¢ per minute and texts cost 10¢ each. I typically make 100 minutes of calls and 60 text messages each month. Which would be the better contract for me and by how much?
Answer:
the monthly contract seems pretty good
Step-by-step explanation:
why pay 30 cent or 10 cent per min when you can just pay monthly cause eventually you going to be paying the same amount . hope this helpsssssss. brainliest:)
The table of values shown below represents a linear function. Which of these points could also be an ordered pair in the table, and why? x 0 3 6 9 12 y 3 7 11 15 19 a (18, 27), because the rate of change of the function is Three-fourths b (18, 27), because the rate of change of the function is Four-thirds c (27, 18), because the rate of change of the function is Three-fourths d (27, 18), because the rate of change of the function is Four-thirds
Answer:
The rate of change of a linear function is constant and is equal to the slope of the line.
To find the slope of the line, we can use any two points from the table. Let's use the first and last points:
slope = (19 - 3) / (12 - 0) = 16 / 12 = 4 / 3
This means that the function has a rate of change of 4/3, or 1.33.
Now, let's check each of the answer choices:
a) (18, 27) - This point is not in the table and does not have the correct coordinates.
b) (18, 27) - This point is not in the table and does not have the correct coordinates.
c) (27, 18) - This point is not in the table and does not have the correct coordinates.
d) (27, 18) - This point is not in the table and does not have the correct coordinates.
None of these points are in the table, and therefore none of them could be an ordered pair in the table.
Evelyn has a coupon that will reduce her grocery bill by 8%. If c represents the cost of Evelyn's groceries, which expression represents Evelyn's grocery bill?
a) c-0. 08
b) c+0. 92
c) 0. 08c
d) 0. 92c
Therefore, the correct answer is option (b) c + 0.92.
What is The expression that represents Evelyn's grocery bill?The expression that represents Evelyn's grocery bill after the 8% discount is:
c - 0.08c
This can be simplified as:
0.92c
Therefore, the correct answer is option (b) c + 0.92.
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The expression that represents Evelyn's grocery bill after the coupon is applied is 0.92c. Therefore, the correct option is D.
If Evelyn has a coupon that will reduce her grocery bill by 8% and c represents the cost of her groceries, the expression that represents Evelyn's grocery bill after using the coupon is 0.92c. It is determined as follows.
1. The coupon reduces the bill by 8%, which means Evelyn will pay 100% - 8% = 92% of the original cost.
2. Convert the percentage to a decimal: 92% = 0.92
3. Multiply the original cost (c) by the decimal: 0.92c
So, the correct answer is option D: 0.92c.
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We studied the number of people in line at the local grocery store between 5 and 7PM. We found that there was an average of 5 customers waiting in each line. Following a Poisson distribution, find the probability that there will be TWO or MORE customers in line
The probability that there will be TWO or MORE customers in line by the Poisson distribution is 0.084.
What is Poisson distribution?The discrete probability distribution is a Poisson distribution. It expresses the likelihood of an event occurring a particular amount of times (k) during a given time or space interval.
Its mean number of events, (lambda), is the solitary parameter in the Poisson distribution.
The formula for Poisson distribution is;
\(P(X=k)=\frac{e^{-\lambda} \lambda^{k}}{k !}\)
'X' is a Poisson distribution-based random variable.
The number 'k' represents the amount of times that event occurs.
P(X = k) denotes the likelihood that an occurrence will take place k times.
Euler's constant is 'e'. (approximately 2.718)
An average amount of times each event occurs is given by λ.
! is known as the factorial function
Now, according to the question;
k = 2.
λ = 5
e = 2.718
Substitute the values in the Poisson formula;
\(\begin{aligned}&P(X=k)=\frac{e^{-\lambda} \lambda^{k}}{k !} \\&P(X=2)=\frac{\left(2.718^{-5}\right)\left(5^{2}\right)}{2 !} \\&P(X=2)=\frac{(0.0067)(25)}{2} \\&P(X=2)=0.084\end{aligned}\)
Therefore, the probability that there will be TWO or MORE customers in line is 0.084.
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A function is defined by f (x) = 6 x + 1.5. What is f(2.5)?
Step-by-step explanation:
6×(2.5)+1.5
15+1.5
16.5
or
f(x)= 6x+1.5
f(2.5)= 6(2.5)+15
f(2.5)=16.5
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4t+6 evaluate the expression if t=1
Answer:
10
Step-by-step explanation:
You can replace t in the equation with 1 like so 4(1)+6 using pemdas first you'd multiply 4 by 1 which is 4 and then add 6 which is 10.
Please help me with this problem
Answer:
<EFG
Step-by-step explanation:
Work out the value of x y z
Give your answer as a fraction in its simplest form.
Answer:
9/20
Step-by-step explanation:
1/3*3/5*(2*1/4)
1/3*3/5*9/4
(1*3*9)/(3*5*4)=27/60 = 9/20
Yoko says that when you divide 75 by 5, the answer is 15. How can you check her answer? is she correct?
Two methods...
1How can we divide easily by 5?
We know
\(5=\frac{10}{2}\)Then
\(\frac{75}{5}=\frac{75}{\frac{10}{2}}=\frac{75\cdot2}{10}=\frac{150}{10}=15\)2The common method
How to write a linear equation given two points or a slope and a point?
Answer: Given two points on a line, we can write an equation for that line by finding the slope between those points, then solving for the y-intercept in the slope-intercept equation y=mx+b.
Step-by-step explanation:
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If 12 gallons of gas cost 37.50, how much would 16.5 gallons cost ? Which proportion could be used to solve this problem?
Answer:
$51.56
Step-by-step explanation:
Given data
We are given that
12 gallons of gas cost $37.50
Required
The cost of 16.5 gallons
If 12 gallons of gas cost 37.50
then 16.5 gallons will cost x
cross multiply
12x= 16.5*37.5
12x= 618.75
x= 618.75/12
x= $51.56
Hence 16.5 gallons will cost $51.56
I need help right now
What is the slope of the line on the graph below????
27) Suppose the price elasticity of supply for shampoo is 20. If the price of shampoo increases by 0.7%, what would we expect to happen to the quantity of shampoo supplied?
a) Increase by 27%
b) Increase by 14%)
e) Increase by 13%
d) Decrease by 13%
28)
e) Decrease by 27%
If pasta is a Giffen good, then....
a) pasta is also a normal good.
b) pasta is also a luxury good.
e) an decrease in the price of pasta will increase the quantity demanded. d) an increase in the price of pasta will increase the quantity demanded. e) pasta must make up a small portion of consumers' total expenditures.
20)
An inferior good in which the income effect dominates the substitution effect is called....
a) a normal good.
b) a luxury good.
30)
a) a Giffon good.
d) a mass-produced good.
e) a favored good.
The cross elasticity of demand measures the responsiveness of the quantity demanded of a particular good to changes in the prices of
a) its complements but not its substitutes.
b) Its substitutes but not ita complements.
c) its substitutes and its complements.
d) neither its substitutes nor its complements. e) None of the above..
In question 27, the price elasticity of supply for shampoo is given as 20, and the price of shampoo increases by 0.7%. The expected change in the quantity of shampoo supplied can be determined using the concept of price elasticity of supply. However, the specific percentage change in quantity supplied is not provided, so a precise answer cannot be given based on the given information.
In question 20, an inferior good in which the income effect dominates the substitution effect is referred to as a Giffen good. It is not classified as a normal good, luxury good, mass-produced good, or favored good.
In question 30, the cross elasticity of demand measures the responsiveness of the quantity demanded of a particular good to changes in the prices of its substitutes and complements. The correct answer is that the cross elasticity of demand measures the responsiveness to changes in both substitutes and complements.
In question 27, without the specific percentage change in quantity supplied, we cannot determine the exact outcome based on the given information. The price elasticity of supply of 20 suggests that the quantity supplied is highly responsive to changes in price, but the specific percentage change in quantity supplied cannot be calculated without additional data.
In question 28, the relationship between pasta being a Giffen good and other characteristics is not specified. While pasta being a Giffen good indicates that the quantity demanded increases as the price increases, it does not imply whether pasta is a normal good, luxury good, or how price changes affect quantity demanded.
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When the large prism was reduced, the surface area changed by a factor of:
Answer: 16/25
Step-by-step explanation:
Answer:
The answer is 16/25
Step-by-step explanation:
Since the original scale factor was 4/5 then you would need to square four and five in order to get the new scale factor.
When you square 4 you get 16 and when you square 5 you get 25. Therefore the answer should be 16/25.
*I also got it right on the edge quiz
A train is traveling at 30 miles per hour.
How long will it take the train to travel 180 miles?
FREE BRAINLIEST!!!
Answer:
Six hours
Step-by-step explanation:
Answer:
6 Hours
Step-by-step explanation:
If the train travels at 30mph for 6 hours it will have traveled 180 miles.
30 • 6 = 180
I hope this helps
Gerald wants to buy a pack of pencils for $1.77. He has 5 quarters, 3 dimes and 4 pennies. How much more money does he need?
Answer:
18 cents
Step-by-step explanation:
25 times 5 plus 30 plus 4
Answer:
$0.18
Step-by-step explanation:
What is the area for 9 ft? Use 3.14 for pi.
Answer: 14.13
Step-by-step explanation:
3.14 x Radius
The radius is half of the diameter which is 4.5
the Equation is 3.14 x 4.5=14.13